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vFkZ'kkL=k esa lkaf[;dh; fof/;k¡




                    uksV                Js.kh esa cgqyd oxZ ,oa mlosQ igys o ckn osQ ,d oxZ dh vko`fÙk osQ vk/kj ij gh cgqyd Kkr
                                        dj ldrs gSaA
                                    6.  loksZÙke izfrfuf/Ro (Optimum Representative)μcgqyd Js.kh dk og ewY; gS tks lcls vf/d
                                        ckj ik;k tkrk gS vr% og lewg dk loksZÙke izfrfuf/Ro djus okyk ekè; ekuk tkrk gSA bldk ewY;
                                        Hkh lewg esa fn;s x;s ewY;ksa esa ls ,d gksrk gSA

                                  cgqyd osQ nks"k (Demerits of Mode)
                                  cgqyd osQ fuEufyf[r nks"k gSaμ
                                    1.  vLi"V vfuf'pr o vfu/kZfjr  (Undefined, indefinite and indeterminate)μcgqyd lcls

                                        vf/d vLi"V ,oa vfuf'pr ekè; gSA Js.kh dh lHkh vko`fÙk;k¡ leku gksus ij cgqyd fu/kZj.k ugha
                                        fd;k tk ldrk gSA dHkh&dHkh ,d lewg esa nks ;k nks ls vf/d cgqyd Hkh gks ldrs gSaA
                                    2.  pje ewY;ksa dh mis{kk (Neglect of Extreme Values)μcgqyd lhekUr inksa dks dksbZ egRo ugha nsrk
                                        tksfd xf.krh; n`f"V ls vuqfpr gSA
                                    3.  chtxf.krh; foospu dk vHkko (Lack of Mathematical treatment)μcgqyd esa lHkh in ewY;ksa
                                        osQ 'kkfey u gksus osQ dkj.k bldk chtxf.krh; foospu lEHko ugha gS blh otg ls bldk vU;
                                        lkaf[;dh; jhfr;ksa esa de iz;ksx gksrk gSA
                                    4.  oqQy ewY; Kkr u gksukμ;fn cgqyd ewY; ,oa inksa dh la[;k Kkr gks rks mudks xq.kk djosQ lewg osQ
                                        lc ewY;ksa dk tksM+ Kkr ugha gks ldrkA
                                    5.  vokLrfod vkSj vizfrfuf/d (Illusory and Unrepresentative)μcgqyd dHkh&dHkh lead Js.kh
                                        dk lgh izfrfuf/Ro ugha djrkA mnkgj.k osQ fy,] ;fn 1,000 O;fDr;ksa esa ls 10 O;fDr;ksa dh vk; 100

                                        #i;s gS rFkk ckdh lHkh dh vk; 100 #- ls de gS rks cgqyd vk; 100 #- gksxh tksfd lewg dk lgh
                                        izfrfuf/Ro ugha djrh gSA vr% oqQN ifjfLFkfr;ksa esa cgqyd ls HkzekRed fu"d"kZ izkIr gksrs gSaA
                                    6.  oxZ&foLrkj dk izHkkoμcgqyd ewY; oxZ&foLrkj ij Hkh fuHkZj gksrk gSA oxkZUrjksa osQ foLrkj esa ifjorZu
                                        gksus ij og Hkh fHkUu gks tkrk gSaA




                                                    cgqyd esa vkn'kZ ekè; osQ vko';d xq.kksa dk vHkko gksrk gSA blesa dbZ nks"k gSa
                                                    ijUrq blosQ ckotwn ;g ,d vR;f/d fo"ke caVu ;k xSj&izlkekU; caVu dh fLFkfr
                                                    esa osQUnzh; izo`fÙk dh vFkZiw.kZ eki gS tks vf/dre laosQUnz.k osQ fcUnq dks fpfÉr
                                                    djrk gSA

                                  4-3 eè;dk vkSj muds xq.k (Median and their Properties)


                                  cgqyd dh rjg eè;dk Hkh ,d fLFkrh; ekè; gSA fdlh lead Js.kh dks vkjksgh ;k vojksgh Øe esa O;ofLFkr
                                  djus ij ml Js.kh osQ eè; esa tks ewY; vkrk gS] ogh eè;dk (median) dgykrk gSA vr% ;g ,d Øec¼
                                  leadekyk dk osQUnzh; ;k eè; ewY; gksrk gSA
                                  dkSuj osQ vuqlkj] ¶eè;dk lead Js.kh dk og pj&ewY; gS tks lewg dks nks cjkcj Hkkxksa esa bl izdkj ck¡Vrk
                                  gS fd ,d Hkkx esa lHkh ewY; ls vf/d ,oa nwljs Hkkx esa lHkh ewY; mlls de gksaA¸

                                  vFkkZr~ eè;dk og osQUnzh; ewY; gS tks Øec¼ leadekyk dks nks cjkcj Hkkxksa esa foHkkftr djrk gSA


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